# Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

### Obtuse scalene triangle.

Sides: a = 150   b = 200   c = 78.22204752788

Area: T = 5130.302214989
Perimeter: p = 428.2220475279
Semiperimeter: s = 214.1110237639

Angle ∠ A = α = 40.98661927479° = 40°59'10″ = 0.71553440113 rad
Angle ∠ B = β = 119.0143807252° = 119°50″ = 2.07771827919 rad
Angle ∠ C = γ = 20° = 0.34990658504 rad

Height: ha = 68.40440286651
Height: hb = 51.30330214989
Height: hc = 131.1755427702

Median: ma = 132.0398711658
Median: mb = 65.64546599231
Median: mc = 172.396602464

Vertex coordinates: A[78.22204752788; 0] B[0; 0] C[-72.75330560674; 131.1755427702]
Centroid: CG[1.82224730705; 43.72551425674]
Coordinates of the circumscribed circle: U[39.11102376394; 107.4544494784]
Coordinates of the inscribed circle: I[14.11102376394; 23.96110315062]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.0143807252° = 139°50″ = 0.71553440113 rad
∠ B' = β' = 60.98661927479° = 60°59'10″ = 2.07771827919 rad
∠ C' = γ' = 160° = 0.34990658504 rad

# How did we calculate this triangle?

### 1. Calculation of the third side c of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    